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Static analysis for functionally graded piezoelectric actuators or sensors under a combined electro-thermal load
Authors:HJ Xiang  ZF Shi
Institution:1. Advanced Research Laboratory for Multifunctional Lightweight Structures (ARL-MLS), Department of Mechanical & Industrial Engineering, University of Toronto, Toronto, Canada;2. Department of Mechanical Engineering, Eastern Mediterranean University, G. Magosa, North Cyprus via Mersin 10, Turkey;3. Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China;1. School of Energy and Power Engineering, Beihang University, Beijing, China;2. Collaborative Innovation Center for Advanced Aero-Engine, Beijing, China
Abstract:Based on the theory of piezoelasticity, a functionally graded piezoelectric sandwich cantilever under an applied electric field and/or a heat load is studied. All materials may be arbitrary functional gradients in the thickness direction. The static solution for the mentioned problems is presented by the Airy stress function method. As a special case, assuming that the material composition varies continuously in the direction of the thickness according to a power law distribution, a comprehensive parametric study is conducted to show the influence of electromechanical coupling (EMC), functionally graded index, temperature change and thickness ratio on the bending behavior of actuators or sensors. The distribution of electric field or normal stress in present FGPM actuators is continuous along the thickness, which overcomes the problem in traditional layered actuators. The solution facilitates the design optimization for different piezoelectric actuators and has another potential application for material parameter identification.
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